Question

Factor 25m64−81n16 (w/ screenshot)

Answer 1

(5m^32 -9n^8) (5m^32 +9n^8)

Explanation:

`25m^(64)-81n^(16)\\\\\mathrm{Rewrite\:}25m^(64)-81n^(16)\mathrm{\:as\:}\left(5m^(32)\right)^2-\left(9n^8\right)^2\\\\=\left(5m^(32)\right)^2-\left(9n^8\right)^2\\\\\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}\\x^2-y^2=\left(x+y\right)\left(x-y\right)\\\\\left(5m^(32)\right)^2-\left(9n^8\right)^2=\\\left(5m^(32)+9n^8\right)\left(5m^(32)-9n^8\right)`